Derivation of the pure Faraday and Cotton–Mouton effects when polarimetric effects in a tokamak are large

Segrè, S. E.; Zanza, V.

doi:10.1088/0741-3335/48/3/001

Cited by 23 publications

(33 citation statements)

References 6 publications

(26 reference statements)

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“…Expressions (44)−(47) are similar to the Segre's results [20,21], obtained for rectilinear rays, but in contrast to the latter they are applicable to the wave propagation along curved rays with a torsion. Furthermore, some explicit distinctions are observed.…”

Section: Stokes Vector Evolution In a Magnetized Plasmasupporting

confidence: 71%

“…In particular, the papers [20,21] do not contain the term with Q in Eq. (44) (it can be substantial when u is not small) and the elements of matrix (45) is twice as large as compared with the corresponding matrix elements in [20,21] (the reason is an arithmetic inaccuracy in [20]). Note also that difference in signs in some terms is related to the sign difference in the definition of 3 S .…”

Section: Stokes Vector Evolution In a Magnetized Plasmamentioning

confidence: 99%

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Stokes-vector evolution in a weakly anisotropic inhomogeneous medium

2007

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Equation for evolution of the four-component Stokes vector in weakly anisotropic and smoothly inhomogeneous media is derived on the basis of quasi-isotropic approximation of the geometrical optics method, which provides consequent asymptotic solution of Maxwell equations. Our equation generalizes previous results, obtained for the normal propagation of electromagnetic waves in stratified media. It is valid for curvilinear rays with torsion and is capable to describe normal modes conversion in the inhomogeneous media. Remarkably, evolution of the fourcomponent Stokes vector is described by the Bargmann−Michel−Telegdi equation for the relativistic spin precession, whereas the equation of the three-component Stokes vector resembles the Landau−Lifshitz equation for the spin precession in ferromagnetic systems. General theory is applied for analysis of polarization evolution in a magnetized plasma. We also emphasize fundamental features of the non-Abelian polarization evolution in anisotropic inhomogeneous media and illustrate them by simple examples.

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Section: Stokes Vector Evolution In a Magnetized Plasmasupporting

confidence: 71%

Section: Stokes Vector Evolution In a Magnetized Plasmamentioning

confidence: 99%

Stokes-vector evolution in a weakly anisotropic inhomogeneous medium

2007

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“…It was shown recently [14,15] that equations for the Stokes vector evolution can be derived from a quasi-isotropic approximation of geometrical optics, and they are very close in form to the equations suggested in [8][9][10][11][12][13]. In contrast to SVF, QIA stems from Maxwell's equations, using an asymptotic expansion of the wave field in small parameter µ A .…”

Section: Equation For the Stokes Vector Evolution Derived From Qiamentioning

confidence: 98%

“…QIA was developed in-depth in subsequent publications [4,5] and briefly outlined in books [6,7]. An alternative approach -the Stokes vector formalism (SVF) -was suggested by Azzam [8] and further developed by Segre for the purposes of plasma polarimetry [9][10][11][12][13]. This paper analyzes interrelations between the QIA approach and the Stokes vector formalism.…”

Section: Introductionmentioning

confidence: 99%

Evolution of the polarization of electromagnetic waves in weakly anisotropic inhomogeneous media — a comparison of quasi-isotropic approximations of the geometrical optics method and the Stokes vector formalism

Kravtsov¹,

Bieg

2008

Open Physics

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Abstract:The main methods describing polarization of electromagnetic waves in weakly anisotropic inhomogeneous media are reviewed: the quasi-isotropic approximation (QIA) of geometrical optics method that deals with coupled equations for electromagnetic field components, and the Stokes vector formalism (SVF), dealing with Stokes vector components, which are quadratic in electromagnetic field intensity. The equation for the Stokes vector evolution is shown to be derived directly from QIA, whereas the inverse cannot be true. Derivation of SVF from QIA establishes a deep unity of these two approaches, which happen to be equivalent up to total phase. It is pointed out that in contrast to QIA, the Stokes vector cannot be applied for a polarization analysis of the superposition of coherent electromagnetic beams. Additionally, the ability of QIA to describe a normal modes conversion in inhomogeneous media is emphasized.

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“…In the following discussion concerning the comparison between measurements and model calculations, the Guenther Model A [4] will be cited as well: a discussion of the details of this model is given in [2,5]. This model is the analytic solution of Stokes equations in the limit of…”

Section: Stokes Equations and Their Approximate Solutionsmentioning

confidence: 99%

Analysis of Faraday rotation in JET polarimetric measurements

Orsitto

Boboc

Gaudio

et al. 2011

Plasma Phys. Control. Fusion

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The paper deals with JET polarimeter measurements and in particular it presents a study of the Faraday rotation angle, which is used as a constraint in equilibrium codes. This angle can be calculated by means of the rigorous numerical solution of Stokes equations. A detailed comparison of calculations is carried out with the time traces of measurements, inside a limited dataset representative of JET discharges: in general, it is found that the Faraday rotation angle and Cotton-Mouton phase shift measurements can be represented by the numerical solution to Stokes equations. To obtain this agreement in particular for Faraday rotation, a shift of the magnetic surfaces must be included. This results in an improvement of the position of the magnetic surfaces as calculated by the EFIT equilibrium code. The approximated linear models normally used can be applied only at low density and current. The Cotton-Mouton is calculated at high plasma density including the contribution by the Faraday rotation angle. For high plasma current the non-linear terms in the propagation equations can be important. These conclusions have some impact on the mathematical form of the polarimetric constraints (Faraday and Cotton-Mouton) in equilibrium codes.

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Derivation of the pure Faraday and Cotton–Mouton effects when polarimetric effects in a tokamak are large

Cited by 23 publications

References 6 publications

Stokes-vector evolution in a weakly anisotropic inhomogeneous medium

Stokes-vector evolution in a weakly anisotropic inhomogeneous medium

Evolution of the polarization of electromagnetic waves in weakly anisotropic inhomogeneous media — a comparison of quasi-isotropic approximations of the geometrical optics method and the Stokes vector formalism

Analysis of Faraday rotation in JET polarimetric measurements

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